Weierstrass Relation for a Submanifold $S^k$ in $\EE^n$ Coming from Submanifold Dirac Operator

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dc.creatorMatsutani, Shigeki
dc.date2001-01-03
dc.date2003-06-30
dc.date.accessioned2026-07-07T04:39:29Z
dc.date.available2026-07-07T04:39:29Z
dc.descriptionUsing the submanifold quantum mechanical scheme, the restricted Dirac operator in a submanifold is defined. Then it is shown that the zero mode of the Dirac operator expresses the local properties of the submanifold, such as the Frenet-Serret and generalized Weierstrass relations. In other words this article gives a representation of a further generalized Weierstrass relations for a general k-spin manifolds immersed in n-dimensional euclidean space (0<k<n).
dc.descriptionAMS-Tex Use 32 pages. to appear in Advanced Studies in Pure Mathematics
dc.identifierhttps://arxiv.org/abs/math/0101020
dc.identifierhttp://arxiv.org/abs/math/0101020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60684
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleWeierstrass Relation for a Submanifold $S^k$ in $\EE^n$ Coming from Submanifold Dirac Operator
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